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Finding the Fourth Proportional to 32,374.76, 44,676.78 and 18,230

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Solution

The fourth proportional to 32,374.76, 44,676.78 and 18,230 is: 25,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.76 : 44,676.78 = 18,230 : x
  2. Step 2: Convert to fraction form
    32,374.76/44,676.78 = 18,230/x
  3. Step 3: Cross multiply
    32,374.76x = 44,676.78 × 18,230
  4. Step 4: Simplify right side
    32,374.76x = 814,457,699.40
  5. Step 5: Solve for x
    x = 814,457,699.40/32,374.76
  6. Step 6: Final answer
    x = 25,157.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.